Kinematic Analysis of 2 DoF Spherical Mechanism Applying Constraint Equations

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Constraint equations for complex robot structures can lead to a large number of equations. Also, constraint equations permits universal solutions for various mechanisms and solving a large number of equations can be simplified with numerical solutions. Therefore, if discreet solutions are allowed, a universal way to determine the necessary control parameters of a mechanism for different positions, or corresponding positions for different driving parameters is to use constraint equations. A direct kinematical analysis of a 2 DoF spherical mechanism with two driving axes is presented; a numerical simulation is made for given arm dimensions; according to specified degrees of freedom, a simplified CAD model is built and driven with the angular parameters.

[1] Yamada H., Hirose S. Study of a 2-DOF joint for the small active cord mechanism, Robotics and Automation, 2009. ICRA '09. IEEE International Conference, ISSN 1050-4729, DOI: 10.1109/ROBOT.2009.5152837, pp. 3827 - 3832.

[2] Cai S., Huang W., Peng L. The kinematic modeling of a 2-DOF rotational parallel fixture, Advanced Materials Research Vols.605-607 (2013) pp.1465-1468.

[3] Papp, I. The kinematical analysis of type H4 parallel robot applying the constraint equations (reverse kinematics, the determination of conductor parameters). The 17-th International Conference on Mechanical Engineering, Gheorghieni, 2009. ISSN 1454-0746, pp. 303-308.

[4] Papp, I. The equation of constraint of the spherical joint. Procedings of Inter-Ing 2003, Universitatea „Petru Maior”, Facultatea de Inginerie, Târgu Mureş, 2003, vol. I, ISBN 973-8084-82-2, pp. 173-176.

[5] Papp, I. The Method and the Mode of Application of the Constraint Equation in the Case ofthe Planar Mechanism. The 15-th International Conference on Mechanical Engineering, 2004. ISBN 1973-86097-9-8, pp 228-233.

[6] Amirouche, F.M.L, Computational Methods for Multibody Dynamics, Prentice-Hall, (1992).

[7] Papp I. Mechanizmusok elmélete (Theory of mechanisms). Scientia 2010, Cluj Napoca, ISBN 978-973-1970-29-5.

MACRo 2015

Proceedings of the 5th International Conference on Recent Achievements in Mechatronics, Automation, Computer Sciences and Robotics

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